88893360 has 120 divisors (see below), whose sum is σ = 300238224. Its totient is φ = 23569920.

The previous prime is 88893347. The next prime is 88893373. The reversal of 88893360 is 6339888.

It is an interprime number because it is at equal distance from previous prime (88893347) and next prime (88893373).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238134 + ... + 238506.

Almost surely, 2^88893360 is an apocalyptic number.

88893360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88893360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150119112).

88893360 is an abundant number, since it is smaller than the sum of its proper divisors (211344864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88893360 is a wasteful number, since it uses less digits than its factorization.

88893360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 88893360 is about 9428.3275293129. The cubic root of 88893360 is about 446.2961160354.

It can be divided in two parts, 88893 and 360, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 88893360 in words is "eighty-eight million, eight hundred ninety-three thousand, three hundred sixty".